In this paper, we show that there are solutions of degree r the equation Pell–Abel on some real hyperelliptic curve genus g if and only r>g. This result, which is known to experts, has consequences, seem be unknown experts. First, deduce existence a primitive k-differential an with unique zero order k(2g-2) for every (k,g)≠(2,2). Moreover, exists non Weierstrass point n modulo n>2g.

Abstract Multi frequency antennas are in high demand as the wireless communication system is developing rapidly. To access internet a mobile device, 2G-5G and WLAN used that covers 1.8 GHz – 6 GHz. This paper proposes design of low profile multiband monopole antenna for all communications, WiMAX application. The has diamond shaped radiator, cylinder to achieve better resonance, defective ground...

In order to obtain high quality, reliable electronic Raman spectra of a high-T c superconductor compound, comparable with existing model, we have studied strongly under-doped HgBa 2 Ca 2 Cu 3 O 8+δ. This choice was made such as to i) minimize oxygen disorder in the Hg−plane generated by oxygen doping ii) avoid the need of phonon background subtraction from the raw data iii)eliminate traces of p...

We consider this inequality from a naive probabilistic point of view. Suppose g = 1, for example. Then E has a model as a projective cubic curve. Let F (x, y, z) denote the corresponding homogeneous cubic polynomial. There are q + q + 1 Fq-rays through the origin in affine 3-space, and loosely speaking, each ray has a probability 1/q of lying on the zero-locus of F . Therefore, X(Fq) should sho...

the first records of anopheles fluviatilis resistance to ddt was reported in 1963 from india and to dieldrin from eastern saudi arabia in 1959. in southern iran, antimalaria measures began in 1950 and up to 1957 the area was under ddt residual house spraying at the rate of 2g /m2 one round/year. during 1958-59 dieldrin was used at 0.5 g/m2, 1or 2 rounds/year was applied in the lowland areas. in...

The GSM network, commonly called 2G, was designed during the 1980s when the Cold War was still on. Due to political pressure from European governments, the security of GSM was deliberately made weak to allow easy interception by law enforcement agencies. Despite strengthened security in subsequent mobile network technologies of 3G and 4G, the weak security of 2G represents the ‘weakest link’ an...

We define a family of groups that include the mapping class group of a genus g surface with one boundary component and the integral symplectic group Sp.2g;Z/ . We then prove that these groups are finitely generated. These groups, which we call mapping class groups over graphs, are indexed over labeled simplicial graphs with 2g vertices. The mapping class group over the graph € is defined to be ...

First principles molecular dynamics (MD) simulations, of water adsorption on the MgOf100g surface, was performed to determine the molecular structure and chemical nature of the adsorbed water at varying coverage. Dissociative adsorption was stabilized by hydrogen bond donation from neighboring water molecules. The dissociation barrier had a strong dependence on coverage. Spontaneous dissociatio...